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Finding the Third Proportional to 25,076.25 and 53,979.75

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Solution

The third proportional to 25,076.25 and 53,979.75 is: 116,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.25 : 53,979.75 = 53,979.75 : x
  2. Step 2: Convert to fraction form
    25,076.25/53,979.75 = 53,979.75/x
  3. Step 3: Cross multiply
    25,076.25x = 53,979.75 × 53,979.75
  4. Step 4: Simplify right side
    25,076.25x = 2,913,813,410.06
  5. Step 5: Solve for x
    x = 2,913,813,410.06/25,076.25
  6. Step 6: Final answer
    x = 116,198.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.